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Horsak B, Durstberger S, Krondorfer P, Thajer A, Greber-Platzer S, Kranzl A. Which method should we use to determine the hip joint center location in individuals with a high amount of soft tissue? Clin Biomech (Bristol, Avon) 2024; 115:106254. [PMID: 38669918 DOI: 10.1016/j.clinbiomech.2024.106254] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/06/2023] [Revised: 03/26/2024] [Accepted: 04/16/2024] [Indexed: 04/28/2024]
Abstract
BACKGROUND This study investigated the most accurate method for estimating the hip joint center position in clinical 3D gait analysis for young individuals with high amounts of soft tissue. We compared position estimates of five regression-based and two functional methods to the hip joint center position obtained through 3D free-hand ultrasound. METHODS For this purpose, the data of 14 overweight or obese individuals with a mean age of 13.6 (SD 2.1 yrs) and a BMI of 36.5 (SD 7.1 kg/m2, range 26-52 kg/m2) who underwent standard clinical 3D gait analysis were used. The data of each participant were processed with five regression-based and two functional methods and compared to the hip joint center identified via 3D free-hand ultrasound. FINDINGS The absolute location errors to 3D free-hand ultrasound for each anatomical plane and the Euclidean distances served as outcomes next to their effects on gait variables. The data suggest that regression-based methods are preferable to functional methods in this population, as the latter demonstrated the highest variability in accuracy with large errors for some individuals. INTERPRETATION Based on our findings we recommend using the regression method presented by Hara et al. due to its superior overall accuracy of <9 mm on average in all planes and the lowest impact on kinematic and kinetic output variables. We do not recommend using the Harrington equations (single and multiple) in populations with high amounts of soft tissue as they require pelvic depth as input, which can be massively biased when a lot of soft tissue is present around the pelvis.
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Affiliation(s)
- Brian Horsak
- Center for Digital Health and Social Innovation, St. Pölten University of Applied Sciences, Campus-Platz 1, St. Pölten 3100, Austria; Institute of Health Sciences, St. Pölten University of Applied Sciences, Campus-Platz 1, St. Pölten 3100, Austria.
| | - Sebastian Durstberger
- FH Campus Wien - University of Applied Sciences, Department Health Sciences, Favoritenstrasse 226, 1100 Vienna, Austria; Orthopaedic Hospital Speising, Laboratory of Gait and Movement Analysis, Speisinger Str. 109, Vienna 1130, Austria
| | - Philipp Krondorfer
- Center for Digital Health and Social Innovation, St. Pölten University of Applied Sciences, Campus-Platz 1, St. Pölten 3100, Austria
| | - Alexandra Thajer
- Clinical Division of Pediatric Pulmonology, Allergology and Endocrinology, Department of Pediatrics and Adolescent Medicine, Medical University of Vienna, Währinger Guertel 18-20, Vienna 1090, Austria
| | - Susanne Greber-Platzer
- Clinical Division of Pediatric Pulmonology, Allergology and Endocrinology, Department of Pediatrics and Adolescent Medicine, Medical University of Vienna, Währinger Guertel 18-20, Vienna 1090, Austria
| | - Andreas Kranzl
- Orthopaedic Hospital Speising, Laboratory of Gait and Movement Analysis, Speisinger Str. 109, Vienna 1130, Austria
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Boekesteijn RJ, van de Ven MPF, Wilders LM, Bisseling P, Groen BE, Smulders K. The effect of functional calibration methods on gait kinematics in adolescents with idiopathic rotational deformity of the femur. Clin Biomech (Bristol, Avon) 2023; 107:106028. [PMID: 37331152 DOI: 10.1016/j.clinbiomech.2023.106028] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/20/2023] [Revised: 05/30/2023] [Accepted: 06/07/2023] [Indexed: 06/20/2023]
Abstract
BACKGROUND Due to anatomical deviations, assumptions of the conventional calibration method for gait analysis may be violated in individuals with rotational deformities of the femur. Functional calibration methods were compared with conventional methods in this group for 1) localization of the hip joint center and orientation of the knee axis, and 2) gait kinematics. METHODS Twenty-four adolescents with idiopathic rotational deformity of the femur underwent gait analysis and a CT scan. During standing, distance between hip joint centers and knee axis orientation were compared between calibration methods, with CT serving as reference for hip joint center estimation. Gait kinematics were compared using statistical parametric mapping. FINDINGS The conventional calibration method estimated the hip joint center closer to the CT reference (4±12 mm more lateral) than the functional calibration method (26 ± 20 mm more lateral). Orientation of the knee joint axis was 2.6° less internal in the functional calibration method. During gait, statistical parametric mapping revealed significantly more hip flexion, less external hip rotation during the swing phase, less knee varus-valgus motion, and larger knee flexion angles when applying the functional method. INTERPRETATION Functional calibration methods were less accurate in determining the hip joint center location than the conventional calibration method and resulted in a knee joint axis that was less internally rotated. Importantly, there was less knee joint angle crosstalk during gait when using the functional method. Although differences between methods on gait kinematics were within clinically acceptable limits for the sagittal plane, relatively larger differences on transversal hip kinematics may hold clinical importance.
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Affiliation(s)
- Ramon J Boekesteijn
- Department of Research, Sint Maartenskliniek, Nijmegen, the Netherlands; Department of Rehabilitation, Donders Institute for Brain, Cognition and Behavior, Radboud University Medical Center, Nijmegen, the Netherlands.
| | | | - Lise M Wilders
- Department of Rehabilitation, Sint Maartenskliniek, Nijmegen, the Netherlands
| | - Pepijn Bisseling
- Department of Orthopedic Surgery, Sint Maartenskliniek, Nijmegen, the Netherlands
| | - Brenda E Groen
- Department of Research, Sint Maartenskliniek, Nijmegen, the Netherlands; Department of Rehabilitation, Donders Institute for Brain, Cognition and Behavior, Radboud University Medical Center, Nijmegen, the Netherlands
| | - Katrijn Smulders
- Department of Research, Sint Maartenskliniek, Nijmegen, the Netherlands
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Musagara AR, Salami F, Oelmaier H, Götze M, Wolf SI. Are we overestimating internal rotation gait by conventional modelling? Gait Posture 2023; 103:57-61. [PMID: 37116302 DOI: 10.1016/j.gaitpost.2023.04.017] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/30/2022] [Revised: 02/21/2023] [Accepted: 04/23/2023] [Indexed: 04/30/2023]
Abstract
BACKGROUND The determination of the knee joint axis (KJA) via specific calibration movements has become a promising alternative to the conventional approach to determine this axis based on regression equations or directly via marker placement on bony landmarks of the knee. Since the orientation of the KJA may differ between methods, it has direct influence on hip rotation and may therefore influence clinical decision making in context of transverse plane gait deviations. RESEARCH QUESTION Does a functional KJA calibration lead to clinically relevant differences in hip rotation estimates during gait compared to the conventional method? METHODS 95 subjects (age: 19.9 years; BMI: 21.1 kg/m2), including 71 patients with potential rotation malalignment, were prospectively examined and underwent 3D gait analysis. For the conventional approach the KJA was determined by applying a knee alignment device, for the functional approach subjects were asked to perform two different calibration movements. Each procedure was performed twice. Mean hip rotation in stance (mHipRotSt) was determined following the conventional and the functional KJA calibration. RESULTS Deming regression analysis for the comparison of conventional and functionally measured hip rotation revealed a systematic and substantial difference between methods (slope: 0.63; intercept: 0.31°). Measurement repetition with the knee alignment device revealed typical errors around 5°, whereas the functional methods lead to profoundly smaller errors around 1-2° with slightly inferior results for SQUAT compared to FLEX. However, when compared to conventional frontal plane video-taping, the conventional method seemed to reflect the more consistent results. SIGNIFICANCE The systematic linear discrepancy in mHipRotSt obtained by a functional approach as compared to the conventional approach appears critical since patients with severe internal or external rotation gait may be misjudged in function when receiving corrective procedures such as femoral derotation osteotomy.
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Affiliation(s)
| | - Firooz Salami
- Clinic for Orthopedics, Heidelberg University Hospital, Heidelberg, Germany
| | - Hannah Oelmaier
- Clinic for Orthopedics, Heidelberg University Hospital, Heidelberg, Germany
| | - Marco Götze
- Clinic for Orthopedics, Heidelberg University Hospital, Heidelberg, Germany
| | - Sebastian I Wolf
- Clinic for Orthopedics, Heidelberg University Hospital, Heidelberg, Germany.
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Salami F, Götze M, Campos S, Leboucher J, Hagmann S, Wolf SI. Estimation of a midfoot joint center in typically developed adults using functional calibration methods. Gait Posture 2022; 97:203-209. [PMID: 35988436 DOI: 10.1016/j.gaitpost.2022.08.013] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 03/31/2022] [Revised: 08/12/2022] [Accepted: 08/15/2022] [Indexed: 02/02/2023]
Abstract
BACKGROUND There are detailed findings on hip and knee joint parameters determined via functional calibration methods for use in instrumented 3D-gait analysis but these methods have not yet been addressed to the foot. RESEARCH QUESTION Are functional calibration methods feasible for determining foot joint parameters and may they help for clinical interpretation of foot deformities? METHODS Rigid segments were formed by markers on forefoot and hindfoot via a least square method. The position of the midfoot joint articulating both foot segments was then determined via a functional calibration motion. This two-stage procedure was applied on a cohort of 17 typically developed adults and one subject with severe planovalgus foot deformity for determining the location of the midfoot joint and kinematics of hindfoot and forefoot. RESULTS The position of the midfoot joint center could be estimated in the typically developed cohort and also in the demonstration case with planovalgus foot deformity. Depending on the choice of marker set for hindfoot and forefoot, the position of the joint center varied in the anatomic midfoot region with most robust results when addressing the marker on the navicular to the hindfoot. CONCLUSION The presented method for joint center determination within the foot and the characteristic results of the foot joint angles appear promising for typically developed feet. However, further validation of the method is needed for application in clinical context.
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Affiliation(s)
- Firooz Salami
- Clinic for Orthopedics and Trauma Surgery, Heidelberg University Hospital, Heidelberg, Germany
| | - Marco Götze
- Clinic for Orthopedics and Trauma Surgery, Heidelberg University Hospital, Heidelberg, Germany
| | - Sarah Campos
- Clinic for Orthopedics and Trauma Surgery, Heidelberg University Hospital, Heidelberg, Germany
| | - Julien Leboucher
- Clinic for Orthopedics and Trauma Surgery, Heidelberg University Hospital, Heidelberg, Germany
| | - Sebastién Hagmann
- Clinic for Orthopedics and Trauma Surgery, Heidelberg University Hospital, Heidelberg, Germany
| | - Sebastian I Wolf
- Clinic for Orthopedics and Trauma Surgery, Heidelberg University Hospital, Heidelberg, Germany.
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Predicting the hip joint centre in children: New regression equations, linear scaling, and statistical shape modelling. J Biomech 2022; 142:111265. [PMID: 36027636 DOI: 10.1016/j.jbiomech.2022.111265] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/01/2022] [Revised: 08/09/2022] [Accepted: 08/15/2022] [Indexed: 11/21/2022]
Abstract
Determination of the hip joint centre (HJC) is important to accurately estimate hip joint motion, moments and muscle forces. The most accurate method for HJC estimation without medical imaging is an area of interest in the biomechanics community, especially in a paediatric population, which has not been widely evaluated. HJC locations were calculated by sphere-fitting to the acetabulum of three-dimensional pelvises segmented from 333 CT scans of children aged 4 to 18 years old. Three methods for determining the HJC were compared: regression equations, linear scaling, and shape model prediction. The new regression equations developed in this study produced Euclidean distance errors of 6.23 mm ± 2.90 mm. Linear scaling of paediatric bone produced errors of 3.90 mm ± 2.52 mm and adult bone scaling of 5.45 mm ± 3.26 mm. Prediction of the HJC using a paediatric statistical shape model produced mean Euclidian distance errors of 2.95 mm ± 1.65 mm. Overall, shape model prediction of the HJC produced the lowest errors, with linear scaling of a mean paediatric pelvis providing better estimates than regression equations.
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Öztürk O, Salami F, Musagara AR, Demirbüken İ, Polat MG, Wolf SI, Götze M. Functional hip joint centre determination in children with cerebral palsy. Gait Posture 2021; 90:185-189. [PMID: 34500219 DOI: 10.1016/j.gaitpost.2021.08.021] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 12/18/2020] [Revised: 08/23/2021] [Accepted: 08/25/2021] [Indexed: 02/02/2023]
Abstract
BACKGROUND Although functional methods determining the hip joint center (HJC) are becoming increasingly popular, no systematic investigation has been conducted yet to assess the reliability of functional hip joint calibration in patients with cerebral palsy (CP). RESEARCH QUESTION What is the most reliable way to conduct functional calibration motions for estimating HJC location in children with CP and movement disorders? METHODS Twenty-two patients with CP were included in the study. A marker set for Plug-in Gait with additional cluster markers was used. Two functional calibration movements, including a new movement, were proposed and tested with one and three repetitions each. Functional HJCs were determined using the SCoRE approach and compared to results obtained by applying the conventional regression method for assessing face validity. RESULTS The choice of calibration movement had significant impact on SCoRE residuals and HJC location. Increasingly repeating calibration movements did not improve results. A modified star movement by allowing the toes to tip the ground provided the most reliable data and is feasible for children with GMFCS level I-III. The feasibility of the method is further improved by analyzing hip motion in the contralateral stance limb and, among the calibration movements, gave the most precise HJC estimation. SIGNIFICANCE Type and performance of the functional calibration movement is one key factor for determining a robust HJC. Analyzing the data in the stance leg via the modified star motion yielded robust and reasonable results for the HJC location, which should be validated in further studies that include imaging methods. Using one repetition instead of three seems promising in terms of feasibility for patients with movement disorder.
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Affiliation(s)
- Orhan Öztürk
- Heidelberg University Hospital, Centre of Orthopedics and Trauma Surgery, Heidelberg, Germany
| | - Firooz Salami
- Heidelberg University Hospital, Centre of Orthopedics and Trauma Surgery, Heidelberg, Germany
| | - Arik Rehani Musagara
- Heidelberg University Hospital, Centre of Orthopedics and Trauma Surgery, Heidelberg, Germany
| | - İlkşan Demirbüken
- Heidelberg University Hospital, Centre of Orthopedics and Trauma Surgery, Heidelberg, Germany
| | - M Gülden Polat
- Heidelberg University Hospital, Centre of Orthopedics and Trauma Surgery, Heidelberg, Germany
| | - Sebastian I Wolf
- Heidelberg University Hospital, Centre of Orthopedics and Trauma Surgery, Heidelberg, Germany.
| | - Marco Götze
- Heidelberg University Hospital, Centre of Orthopedics and Trauma Surgery, Heidelberg, Germany
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3D free-hand ultrasound to register anatomical landmarks at the pelvis and localize the hip joint center in lean and obese individuals. Sci Rep 2021; 11:10650. [PMID: 34017023 PMCID: PMC8170673 DOI: 10.1038/s41598-021-89763-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/11/2020] [Accepted: 04/28/2021] [Indexed: 11/25/2022] Open
Abstract
3D free-hand ultrasound (3DFUS) is becoming increasingly popular to assist clinical gait analysis because it is cost- and time-efficient and does not expose participants to radiation. The aim of this study was to evaluate its reliability in localizing the anterior superior iliac spine (ASIS) at the pelvis and the hip joint centers (HJC). Additionally, we evaluated its accuracy to get a rough estimation of the potential to use of 3DFUS to segment bony surface. This could offer potential to register medical images to motion capture data in future. To evaluate reliability, a test–retest study was conducted in 16 lean and 19 obese individuals. The locations of the ASIS were determined by manual marker placement (MMP), an instrumented pointer technique (IPT), and with 3DFUS. The HJC location was also determined with 3DFUS. To quantify reliability, intraclass correlation coefficients (ICCs), the standard error of measurement (SEm), among other statistical parameters, were calculated for the identified locations between the test and retest. To assess accuracy, the surface of a human plastic pelvic phantom was segmented with 3DFUS in a distilled water bath in 27 trials and compared to a 3D laser scan of the pelvis. Regarding reliability, the MMP, but especially the IPT showed high reliability in lean (SEm: 2–3 mm) and reduced reliability in obese individuals (SEm: 6–15 mm). Compared to MMP and IPT, 3DFUS presented lower reliability in the lean group (SEm: 2–4 mm vs. 2–8 mm, respectively) but slightly better values in the obese group (SEm: 7–11 mm vs. 6–16 mm, respectively). Correlations between test–retest reliability and torso body fat mass (% of body mass) indicated a moderate to strong relationship for MMP and IPT but only a weak correlation for the 3DFUS approach. The water-bath experiments indicated an acceptable level of 3.5 (1.7) mm of accuracy for 3DFUS in segmenting bone surface. Despite some difficulties with single trials, our data give further rise to the idea that 3DFUS could serve as a promising tool in future to inform marker placement and hip joint center location, especially in groups with higher amount of body fat.
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Sensor-to-Segment Calibration Methodologies for Lower-Body Kinematic Analysis with Inertial Sensors: A Systematic Review. SENSORS 2020; 20:s20113322. [PMID: 32545227 PMCID: PMC7309059 DOI: 10.3390/s20113322] [Citation(s) in RCA: 29] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/30/2020] [Revised: 06/01/2020] [Accepted: 06/08/2020] [Indexed: 11/20/2022]
Abstract
Kinematic analysis is indispensable to understanding and characterizing human locomotion. Thanks to the development of inertial sensors based on microelectronics systems, human kinematic analysis in an ecological environment is made possible. An important issue in human kinematic analyses with inertial sensors is the necessity of defining the orientation of the inertial sensor coordinate system relative to its underlying segment coordinate system, which is referred to sensor-to-segment calibration. Over the last decade, we have seen an increase of proposals for this purpose. The aim of this review is to highlight the different proposals made for lower-body segments. Three different databases were screened: PubMed, Science Direct and IEEE Xplore. One reviewer performed the selection of the different studies and data extraction. Fifty-five studies were included. Four different types of calibration method could be identified in the articles: the manual, static, functional, and anatomical methods. The mathematical approach to obtain the segment axis and the calibration evaluation were extracted from the selected articles. Given the number of propositions and the diversity of references used to evaluate the methods, it is difficult today to form a conclusion about the most suitable. To conclude, comparative studies are required to validate calibration methods in different circumstances.
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Bennett HJ, Valenzuela KA, Fleenor K, Weinhandl JT. A Normative Database of Hip and Knee Joint Biomechanics During Dynamic Tasks Using Four Functional Methods With Three Functional Calibration Tasks. J Biomech Eng 2020; 142:041011. [PMID: 31513696 DOI: 10.1115/1.4044503] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/22/2019] [Indexed: 12/13/2022]
Abstract
Although predicted hip joint center (HJC) locations are known to vary widely between functional methods, no previous investigation has detailed functional method-dependent hip and knee biomechanics. The purpose of this study was to define a normative database of hip joint biomechanics during dynamic movements based upon functional HJC methods and calibration tasks. Thirty healthy young adults performed arc, star arc, and two-sided calibration tasks. Motion capture and ground reaction forces were collected during walking, running, and single-leg landings (SLLs). Two sphere-fit (geometric and algebraic) and two coordinate transformation techniques were implemented using each calibration (12 total method-calibration combinations). Surprisingly, the geometric fit-two-sided model placed the HJC at the midline of the pelvis and above the iliac spines, and thus was removed from analyses. A database of triplanar hip and knee kinematics and hip moments and powers was constructed using the mean of all subjects for the eleven method-calibration combinations. A nested analysis of variance approach compared calibration [method] peak hip kinematics and kinetics. Most method differences existed between geometric fit and coordinate transformations (58 of 84 total). No arc-star arc differences were found. Thirty-two differences were found between the two-sided and arc/star arc calibrations. This database of functional method based hip and knee biomechanics serves as an important reference point for interstudy comparisons. Overall, this study illustrates that functional HJC method can dramatically impact hip biomechanics and should be explicitly detailed in future work.
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Affiliation(s)
- Hunter J Bennett
- Department of Human Movement Sciences, Old Dominion University, 2016 Student Recreation Center, Norfolk, VA 23529
| | - Kevin A Valenzuela
- Department of Kinesiology, HHS2-203, California State University Long Beach, Long Beach, CA 90840
| | - Kristina Fleenor
- Department of Human Movement Sciences, Old Dominion University, 2016 Student Recreation Center, Norfolk, VA 23529
| | - Joshua T Weinhandl
- Department of Kinesiology, Recreation, and Sport Studies, The University of Tennessee, 322 HPER Building, 1914 Andy Holt Avenue, Knoxville, TN 37996-2700
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Leboeuf F, Reay J, Jones R, Sangeux M. The effect on conventional gait model kinematics and kinetics of hip joint centre equations in adult healthy gait. J Biomech 2019; 87:167-171. [DOI: 10.1016/j.jbiomech.2019.02.010] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/22/2018] [Revised: 02/12/2019] [Accepted: 02/14/2019] [Indexed: 10/27/2022]
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Evaluation of functional methods of joint centre determination for quasi-planar movement. PLoS One 2019; 14:e0210807. [PMID: 30653613 PMCID: PMC6336381 DOI: 10.1371/journal.pone.0210807] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/14/2018] [Accepted: 01/02/2019] [Indexed: 12/14/2022] Open
Abstract
Functional methods identify joint centres as the centre of rotation (CoR) of two adjacent movements during an ad-hoc movement. The methods have been used for functionally determining hip joint centre in gait analysis and have revealed advantages compared to predictive regression techniques. However, the current implementation of functional methods hinders its application in clinical use when subjects have difficulties performing multi-plane movements over the required range. In this study, we systematically investigated whether functional methods can be used to localise the CoR during a quasi-planar movement. The effects of the following factors were analysed: the algorithms, the range and speed of the movement, marker cluster location, marker cluster size and distance to the joint centre. A mechanical linkage was used in our study to isolate the factors of interest and give insight to variation in implementation of functional methods. Our results showed the algorithms and cluster locations significantly affected the estimate results. For all algorithms, a significantly positive relationship between CoR errors and the distance of proximal cluster coordinate location to the joint centre along the medial-lateral direction was observed while the distal marker clusters were best located as close as possible to the joint centre. By optimising the analytical and experimental factors, the transformation algorithms achieved a root mean square error (RMSE) of 5.3 mm while the sphere fitting methods yielded the best estimation with an RMSE of 2.6 mm. The transformation algorithms performed better in presence of random noise and simulated soft tissue artefacts.
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A normative database of hip and knee joint biomechanics during dynamic tasks using anatomical regression prediction methods. J Biomech 2018; 81:122-131. [DOI: 10.1016/j.jbiomech.2018.10.003] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/20/2018] [Revised: 09/26/2018] [Accepted: 10/03/2018] [Indexed: 11/22/2022]
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Frick E, Rahmatalla S. Joint Center Estimation Using Single-Frame Optimization: Part 2: Experimentation. SENSORS 2018; 18:s18082563. [PMID: 30081601 PMCID: PMC6112042 DOI: 10.3390/s18082563] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/15/2018] [Revised: 07/13/2018] [Accepted: 08/03/2018] [Indexed: 11/16/2022]
Abstract
Human motion capture is driven by joint center location estimates, and error in their estimation can be compounded by subsequent kinematic calculations. Soft tissue artifact (STA), the motion of tissue relative to the underlying bones, is a primary cause of error in joint center calculations. A method for mitigating the effects of STA, single-frame optimization (SFO), was introduced and numerically verified in Part 1 of this work, and the purpose of this article (Part 2) is to experimentally compare the results of SFO with a marker-based solution. The experimentation herein employed a single-degree-of-freedom pendulum to simulate human joint motion, and the effects of STA were simulated by affixing the inertial measurement unit to the pendulum indirectly through raw, vacuum-sealed meat. The inertial sensor was outfitted with an optical marker adapter so that its location could be optically determined by a camera-based motion-capture system. During the motion, inertial effects and non-rigid attachment of the inertial sensor caused the simulated STA to manifest via unrestricted motion (six degrees of freedom) relative to the rigid pendulum. The redundant inertial and optical instrumentation allowed a time-varying joint center solution to be determined both by optical markers and by SFO, allowing for comparison. The experimental results suggest that SFO can achieve accuracy comparable to that of state-of-the-art joint center determination methods that use optical skin markers (root mean square error of 7.87–37.86 mm), and that the time variances of the SFO solutions are correlated (r = 0.58–0.99) with the true, time-varying joint center solutions. This suggests that SFO could potentially help to fill a gap in the existing literature by improving the characterization and mitigation of STA in human motion capture.
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Affiliation(s)
- Eric Frick
- Center for Computer-Aided Design, College of Engineering, The University of Iowa, Iowa City, IA 52242, USA.
| | - Salam Rahmatalla
- Department of Civil and Environmental Engineering and Center for Computer-Aided Design, College of Engineering, The University of Iowa, Iowa City, IA 52242, USA.
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Passmore E, Graham HK, Sangeux M. Defining the medial-lateral axis of the femur: Medical imaging, conventional and functional calibration methods lead to differences in hip rotation kinematics for children with torsional deformities. J Biomech 2018; 69:156-163. [DOI: 10.1016/j.jbiomech.2018.01.018] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/19/2017] [Revised: 01/09/2018] [Accepted: 01/14/2018] [Indexed: 11/29/2022]
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Predicting the location of the hip joint centres, impact of age group and sex. Sci Rep 2016; 6:37707. [PMID: 27883044 PMCID: PMC5121588 DOI: 10.1038/srep37707] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2016] [Accepted: 11/03/2016] [Indexed: 11/20/2022] Open
Abstract
Clinical gait analysis incorporating three-dimensional motion analysis plays a key role in planning surgical treatments in people with gait disability. The position of the Hip Joint Centre (HJC) within the pelvis is thus critical to ensure accurate data interpretation. The position of the HJC is determined from regression equations based on anthropometric measurements derived from relatively small datasets. Current equations do not take sex or age into account, even though pelvis shape is known to differ between sex, and gait analysis is performed in populations with wide range of age. Three dimensional images of 157 deceased individuals (37 children, 120 skeletally matured) were collected with computed tomography. The location of the HJC within the pelvis was determined and regression equations to locate the HJC were developed using various anthropometrics predictors. We determined if accuracy improved when age and sex were introduced as variables. Statistical analysis did not support differentiating the equations according to sex. We found that age only modestly improved accuracy. We propose a range of new regression equations, derived from the largest dataset collected for this purpose to date.
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Sauret C, Pillet H, Skalli W, Sangeux M. On the use of knee functional calibration to determine the medio-lateral axis of the femur in gait analysis: Comparison with EOS biplanar radiographs as reference. Gait Posture 2016; 50:180-184. [PMID: 27632062 DOI: 10.1016/j.gaitpost.2016.09.008] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 07/13/2016] [Revised: 09/05/2016] [Accepted: 09/08/2016] [Indexed: 02/02/2023]
Abstract
Accurate calibration of the medio-lateral axis of the femur is crucial for clinical decision making based on gait analysis. This study proposes a protocol utilizing biplanar radiographs to provide a reference medio-lateral axis based on the anatomy of the femur. The biplanar radiographs allowed 3D modelling of the bones of the lower limbs and the markers used for motion capture, in the standing posture. A comprehensive analysis was performed and results from biplanar radiographs were reliable for 3D marker localization (±0.35mm) and for 3D localization of the anatomical landmarks (±1mm), leading to a precision of 1° for the orientation of the condylar axis of the femur and a 95% confidence interval of ±3° after registration with motion capture data. The anatomical condylar axis was compared to a conventional, marker-based, axis and three functional calibration techniques (axis transformation, geometric axis fit and DynaKAD). Results for the conventional method show an average difference with the condylar axis of 15° (SD: 6°). Results indicate DynaKAD functional axis was the closest to the anatomical condylar axis, mean: 1° (SD: 5°) when applied to passive knee flexion movement. However, the range of the results exceeded 15° for all methods. Hence, the use of biplanar radiographs, or an alternative imaging technique, may be required to locate the medio-lateral axis of the femur reliably prior to clinical decision making for femur derotational osteotomies.
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Affiliation(s)
- Christophe Sauret
- Institut de Biomécanique Humaine Georges Charpak, Arts et Métiers ParisTech, 151 boulevard de l'Hôpital, F-75013 Paris, France.
| | - Hélène Pillet
- Institut de Biomécanique Humaine Georges Charpak, Arts et Métiers ParisTech, 151 boulevard de l'Hôpital, F-75013 Paris, France.
| | - Wafa Skalli
- Institut de Biomécanique Humaine Georges Charpak, Arts et Métiers ParisTech, 151 boulevard de l'Hôpital, F-75013 Paris, France.
| | - Morgan Sangeux
- Hugh Williamson Gait Analysis Laboratory, The Royal Children's Hospital, 50 Flemington Road, Parkville Victoria, 3052 Melbourne, Australia; The Murdoch Children's Research Institute, Melbourne, Australia.
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Bennett HJ, Shen G, Weinhandl JT, Zhang S. Validation of the greater trochanter method with radiographic measurements of frontal plane hip joint centers and knee mechanical axis angles and two other hip joint center methods. J Biomech 2016; 49:3047-3051. [DOI: 10.1016/j.jbiomech.2016.06.013] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/03/2015] [Revised: 06/07/2016] [Accepted: 06/09/2016] [Indexed: 12/01/2022]
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Assi A, Sauret C, Massaad A, Bakouny Z, Pillet H, Skalli W, Ghanem I. Validation of hip joint center localization methods during gait analysis using 3D EOS imaging in typically developing and cerebral palsy children. Gait Posture 2016; 48:30-35. [PMID: 27477704 DOI: 10.1016/j.gaitpost.2016.04.028] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/02/2023]
Abstract
Localization of the hip joint center (HJC) is essential in computation of gait data. EOS low dose biplanar X-rays have been shown to be a good reference in evaluating various methods of HJC localization in adults. The aim is to evaluate predictive and functional techniques for HJC localization in typically developing (TD) and cerebral palsy (CP) children, using EOS as an image based reference. Eleven TD and 17 CP children underwent 3D gait analysis. Six HJC localization methods were evaluated in each group bilaterally: 3 predictive (Plug in Gait, Bell and Harrington) and 3 functional methods based on the star arc technique (symmetrical center of rotation estimate, center transformation technique and geometrical sphere fitting). All children then underwent EOS low dose biplanar radiographs. Pelvis, lower limbs and their corresponding external markers were reconstructed in 3D. The center of the femoral head was considered as the reference (HJCEOS). Euclidean distances between HJCs estimated by each of the 6 methods and the HJCEOS were calculated; distances were shown to be lower in predictive compared to functional methods (p<0.0001). Contrarily to findings in adults, functional methods were shown to be less accurate than predictive methods in TD and CP children, which could be mainly due to the shorter thigh segment in children. Harrington method was shown to be the most accurate in the prediction of HJC (mean error≈18mm, SD=9mm) and quasi-equivalent to the Bell method. The bias for each method was quantified, allowing its correction for an improved HJC estimation.
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Affiliation(s)
- Ayman Assi
- Laboratory of Biomechanics and Medical Imaging, Faculty of Medicine, University of Saint-Joseph, Beirut, Lebanon; Institut de Biomécanique Humaine Georges Charpak, Arts et Métiers ParisTech, Paris, France; Gait Laboratory, SESOBEL, Beirut, Lebanon.
| | - Christophe Sauret
- Institut de Biomécanique Humaine Georges Charpak, Arts et Métiers ParisTech, Paris, France
| | - Abir Massaad
- Laboratory of Biomechanics and Medical Imaging, Faculty of Medicine, University of Saint-Joseph, Beirut, Lebanon; Gait Laboratory, SESOBEL, Beirut, Lebanon
| | - Ziad Bakouny
- Laboratory of Biomechanics and Medical Imaging, Faculty of Medicine, University of Saint-Joseph, Beirut, Lebanon
| | - Hélène Pillet
- Institut de Biomécanique Humaine Georges Charpak, Arts et Métiers ParisTech, Paris, France
| | - Wafa Skalli
- Institut de Biomécanique Humaine Georges Charpak, Arts et Métiers ParisTech, Paris, France
| | - Ismat Ghanem
- Laboratory of Biomechanics and Medical Imaging, Faculty of Medicine, University of Saint-Joseph, Beirut, Lebanon; Gait Laboratory, SESOBEL, Beirut, Lebanon; Hôtel-Dieu de France Hospital, Beirut, Lebanon
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19
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Defining the medial-lateral axis of an anatomical femur coordinate system using freehand 3D ultrasound imaging. Gait Posture 2016; 45:211-6. [PMID: 26979908 DOI: 10.1016/j.gaitpost.2016.02.006] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/25/2015] [Revised: 02/04/2016] [Accepted: 02/05/2016] [Indexed: 02/02/2023]
Abstract
Hip rotation from gait analysis informs clinical decisions regarding correction of femoral torsional deformities. However, it is among the least repeatable due to discrepancies in determining the medial-lateral axis of the femur. Conventional or functional calibration methods may be used to define the axis but there is no benchmark to evaluate these methods. Freehand 3D ultrasound, the coupling of ultrasound with 3D motion capture, may provide such a benchmark. We measured the accuracy in vitro and repeatability in vivo of determining the femur condylar axis from freehand 3D ultrasound. The condylar axis provided the reference medial-lateral axis of the femur and was used to evaluate one conventional method and three functional calibration methods, applied to three calibration movements. Ten healthy subjects (20 limbs) underwent 3D gait analysis and freehand 3D ultrasound. The functional calibration methods were a transformation technique, a geometrical method and a method that minimises variance of knee varus-valgus kinematics (DynaKAD). The conventional method used markers over the femoral epicondyles. The condylar axis determined by 3D ultrasound showed good accuracy in vitro, 1.6° (SD: 0.3°) and good repeatability in vivo, 0.2° (RSMD: 2.3°). The DynaKAD method applied to the walking calibration movement determined the medial-lateral axis closest to the ultrasound reference. The average angular difference in the transverse plane was 3.1° (SD: 6.1°). Freehand 3D ultrasound offers an accurate, non-invasive and relatively fast method to locate the medial-lateral axis of the femur for gait analysis.
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Kiernan D, Hosking J, O'Brien T. Is adult gait less susceptible than paediatric gait to hip joint centre regression equation error? Gait Posture 2016; 45:133-6. [PMID: 26979895 DOI: 10.1016/j.gaitpost.2016.01.023] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/28/2015] [Revised: 11/30/2015] [Accepted: 01/21/2016] [Indexed: 02/02/2023]
Abstract
Hip joint centre (HJC) regression equation error during paediatric gait has recently been shown to have clinical significance. In relation to adult gait, it has been inferred that comparable errors with children in absolute HJC position may in fact result in less significant kinematic and kinetic error. This study investigated the clinical agreement of three commonly used regression equation sets (Bell et al., Davis et al. and Orthotrak) for adult subjects against the equations of Harrington et al. The relationship between HJC position error and subject size was also investigated for the Davis et al. set. Full 3-dimensional gait analysis was performed on 12 healthy adult subjects with data for each set compared to Harrington et al. The Gait Profile Score, Gait Variable Score and GDI-kinetic were used to assess clinical significance while differences in HJC position between the Davis and Harrington sets were compared to leg length and subject height using regression analysis. A number of statistically significant differences were present in absolute HJC position. However, all sets fell below the clinically significant thresholds (GPS <1.6°, GDI-Kinetic <3.6 points). Linear regression revealed a statistically significant relationship for both increasing leg length and increasing subject height with decreasing error in anterior/posterior and superior/inferior directions. Results confirm a negligible clinical error for adult subjects suggesting that any of the examined sets could be used interchangeably. Decreasing error with both increasing leg length and increasing subject height suggests that the Davis set should be used cautiously on smaller subjects.
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Affiliation(s)
- D Kiernan
- Gait Laboratory, Central Remedial Clinic, Clontarf, Dublin 3, Ireland.
| | - J Hosking
- Rehabilitation Engineering Unit, Posture and Mobility Centre, Cardiff and Vale NHS Trust, UK
| | - T O'Brien
- Gait Laboratory, Central Remedial Clinic, Clontarf, Dublin 3, Ireland
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21
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Abstract
The purpose of this short communication is to discuss the relative benefits of various anthropometric parameters to drive predictive equations to locate the hip joint centres. The effect of soft tissue thickness over the anterior and posterior superior iliac spines on pelvic depth, pelvic width and leg length and position of the hip joint centres was discussed theoretically and experimentally, from a secondary analysis of previously published data. Results highlighted that anthropometric measurements of pelvic width and leg length were similar when obtained from MRI images or during gait analysis whereas pelvic depth was different. The secondary analysis showed that Harrington et al. [5] equations using either only pelvic width or only leg length would lead to 3mm improvement, in average over 164 limbs, over the equations using the best anthropometric predictors from MRI data.
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Affiliation(s)
- Morgan Sangeux
- The Royal Children's Hospital, Melbourne, Australia; The Murdoch Childrens Research Institute, Melbourne, Australia; Department of Mechanical Engineering, The University of Melbourne, Australia.
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Kainz H, Carty CP, Modenese L, Boyd RN, Lloyd DG. Estimation of the hip joint centre in human motion analysis: a systematic review. Clin Biomech (Bristol, Avon) 2015; 30:319-29. [PMID: 25753697 DOI: 10.1016/j.clinbiomech.2015.02.005] [Citation(s) in RCA: 78] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/14/2014] [Revised: 02/06/2015] [Accepted: 02/06/2015] [Indexed: 02/07/2023]
Abstract
BACKGROUND Inaccuracies in locating the three-dimensional position of the hip joint centre affect the calculated hip and knee kinematics, force- and moment-generating capacity of muscles and hip joint mechanics, which can lead to incorrect interpretations and recommendations in gait analysis. Several functional and predictive methods have been developed to estimate the hip joint centre location, and the International Society of Biomechanics recommends a functional approach for use with participants that have adequate range of motion at the hip, and predictive methods in those with insufficient range of motion. The purpose of the current systematic review was to substantiate the International Society of Biomechanics recommendations. This included identifying the most accurate functional and predictive methods, and defining 'adequate' range of motion. METHODS A systematic search with broad search terms was performed including five databases. FINDINGS The systematic search yielded to 801 articles, of which 34 papers were included. Eleven different predictive and 13 different functional methods were identified. The results showed that the geometric sphere fit method and Harrington equations are the most accurate functional and predictive approaches respectively that have been evaluated in vivo. INTERPRETATION In regard to the International Society of Biomechanics recommendations, the geometric sphere fit method should be used in people with sufficient active hip range of motion and the Harrington equations should be used in patients without sufficient hip range of motion. Multi-plane movement trials with at least 60° of flexion-extension and 30° of ab-adduction range of motion are suggested when using functional methods.
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Affiliation(s)
- Hans Kainz
- School of Allied Health Sciences, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia; Centre for Musculoskeletal Research, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia; Queensland Children's Gait Laboratory, Queensland Paediatric Rehabilitation Service, Children's Health Queensland Hospital and Health Service, Brisbane, Australia.
| | - Christopher P Carty
- School of Allied Health Sciences, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia; Centre for Musculoskeletal Research, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia; Queensland Children's Gait Laboratory, Queensland Paediatric Rehabilitation Service, Children's Health Queensland Hospital and Health Service, Brisbane, Australia
| | - Luca Modenese
- School of Allied Health Sciences, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia; Centre for Musculoskeletal Research, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia
| | - Roslyn N Boyd
- Queensland Cerebral Palsy and Rehabilitation Research Centre, School of Medicine, The University of Queensland, Brisbane, Australia
| | - David G Lloyd
- School of Allied Health Sciences, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia; Centre for Musculoskeletal Research, Menzies Health Institute Queensland, Griffith University, Gold Coast, Australia
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Kiernan D, Malone A, O'Brien T, Simms CK. The clinical impact of hip joint centre regression equation error on kinematics and kinetics during paediatric gait. Gait Posture 2015; 41:175-9. [PMID: 25457478 DOI: 10.1016/j.gaitpost.2014.09.026] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/07/2014] [Revised: 09/26/2014] [Accepted: 09/29/2014] [Indexed: 02/02/2023]
Abstract
Regression equations based on pelvic anatomy are routinely used to estimate the hip joint centre during gait analysis. While the associated errors have been well documented, the clinical significance of these errors has not been reported. This study investigated the clinical agreement of three commonly used regression equation sets (Bell et al., Davis et al. and Orthotrak software) against the equations of Harrington et al. Full 3-dimensional gait analysis was performed on 18 healthy paediatric subjects. Kinematic and kinetic data were calculated using each set of regression equations and compared to Harrington et al. In addition, the Gait Profile Score and GDI-Kinetic were used to assess clinical significance. Bell et al. was the best performing set with differences in Gait Profile Score (0.13°) and GDI-Kinetic (0.84 points) falling below the clinical significance threshold. Small deviations were present for the Orthotrak set for hip abduction moment (0.1 Nm/kg), however differences in Gait Profile Score (0.27°) and GDI-Kinetic (2.26 points) remained below the clinical threshold. Davis et al. showed least agreement with a clinically significant difference in GDI-Kinetic score (4.36 points). It is proposed that Harrington et al. or Bell et al. regression equation sets are used during gait analysis especially where inverse dynamic data are calculated. Orthotrak is a clinically acceptable alternative however clinicians must be aware of the effects of error on hip abduction moment. The Davis et al. set should be used with caution for inverse dynamic analysis as error could be considered clinically meaningful.
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Affiliation(s)
- D Kiernan
- Gait Laboratory, Central Remedial Clinic, Clontarf, Dublin 3, Ireland; Trinity Centre for Bioengineering, Parsons Building, Trinity College Dublin, Dublin 2, Ireland.
| | - A Malone
- Gait Laboratory, Central Remedial Clinic, Clontarf, Dublin 3, Ireland
| | - T O'Brien
- Gait Laboratory, Central Remedial Clinic, Clontarf, Dublin 3, Ireland
| | - C K Simms
- Trinity Centre for Bioengineering, Parsons Building, Trinity College Dublin, Dublin 2, Ireland
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Sangeux M, Pillet H, Skalli W. Which method of hip joint centre localisation should be used in gait analysis? Gait Posture 2014; 40:20-5. [PMID: 24631279 DOI: 10.1016/j.gaitpost.2014.01.024] [Citation(s) in RCA: 50] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 07/22/2013] [Revised: 01/22/2014] [Accepted: 01/23/2014] [Indexed: 02/02/2023]
Abstract
Accurate localisation of the hip joint centre is required to obtain accurate kinematics, kinetics and musculoskeletal modelling results. Literature data showed that conclusions drawn from synthetic data, adult normal subjects and cerebral palsy children may vary markedly. This study investigated the localisation accuracy of the hip joint centre against EOS. The EOS system allowed us to register the hip joint centres with respect to the skin markers on standing subjects. A comprehensive set of predictive and functional calibration techniques were tested. For the functional calibration techniques, our results showed that algorithm, range of motion and self-performance of the movement were factors significantly affecting the results. Best results were obtained for comfortable range and self-performance of the movement. The best method in this scenario was the functional geometrical sphere fitting method which localised the hips 1.1cm from the EOS reference in average and 100% of the time within 3 cm. Worst results for functional calibration methods occurred when the movement was assisted with a reduced range of movement. The best method in this scenario was the Harrington et al. regression equations since it does not rely on a functional calibration movement. Harrington et al. equations put the hips 1.7 cm from the EOS reference in average and 97% of the time within 3 cm. We conclude that accurate localisation of the hip joint centre is possible in gait analysis providing that method to localise the hip joint centres are adapted to the population studied: functional geometrical sphere fitting when hip calibration movements are not a problem and Harrington et al. predictive equations otherwise.
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Affiliation(s)
- Morgan Sangeux
- Hugh Williamson Gait Analysis Laboratory, Royal Children's Hospital, 50 Flemington Road, Parkville 3052, Australia; Murdoch Childrens Research Institute, Flemington Road, Parkville 3052, Australia; Melbourne School of Engineering, The University of Melbourne, Student Centre Building 173, Parkville 3052, Australia.
| | - Hélène Pillet
- Arts et Metiers ParisTech, LBM, 151 bd de l'hôpital, 75013 Paris, France
| | - Wafa Skalli
- Arts et Metiers ParisTech, LBM, 151 bd de l'hôpital, 75013 Paris, France
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